Analysis of the Chimney Natural Convection in a Vertical Porous Cylinder

REFERENCES

• F. P. Incropera , Convection Heat Transfer in Electronic Equipment Cooling , J. Heat Transfer , vol. 110 , pp. 1097 – 1111 , 1988 .
   Web of Science ®Google Scholar
• A. A. Mohamad , Natural Convection in Opens Cavities and Slots , Numer. Heat Transfer A , vol. 27 , pp. 705 – 716 , 1995 .
   Web of Science ®Google Scholar
• C. Muresan , R. Bennacer , C. Ménézo , J. Vareilles , and S. Julien , Effect of the Humidity on the Natural Convection in a Vertical Channel , Prog. Comput. Fluid Dynam. , vol. 6 , pp. 357 – 362 , 2006 .
   Web of Science ®Google Scholar
• A. J. Chamkha , Non-Darcy Fully Developed Mixed Convection in a Porous Medium Channel with Heat Generation/Absorption and Hydromagnetic Effects , Numer. Heat Transfer A , vol. 32 , pp. 653 – 675 , 1997 .
   Web of Science ®Google Scholar
• C.-H. Cheng , W.-H. Huang , and H.-S. Kou , Laminar Free Convection of the Mixing Flows in Vertical Channels , Numer. Heat Transfer A , vol. 14 , pp. 447 – 463 , 1988 .
   Web of Science ®Google Scholar
• A. Campo , O. Manca , and B. Morrone , Numerical Analysis of Partially Heated Vertical Parallel Plates in Natural Convective Cooling, Numer. Heat Transfer A , vol. 36, pp. 129–151, 1999.
   Web of Science ®Google Scholar
• W. Elenbaas , Heat Dissipation of Parallel Plates by Free Convection , Physica , vol. 9 , no. 1 , pp. 1 – 23 , 1942 .
   Google Scholar
• A. Bar-Cohen and W. M. Rosenhow , Thermally Optimum Spacing of Vertical, Natural Convection Cooled, Parallel Plates , J. Heat Transfer , vol. 106 , pp. 116 – 123 , 1984 .
   Web of Science ®Google Scholar
• C. O. Olsson , Prediction of Nusselt Number and Flow Rate of Buoyancy Driven Flow between Vertical Parallel Plates , J. Heat Transfer , vol. 126 , pp. 97 – 104 , 2004 .
   Web of Science ®Google Scholar
• G. Desrayaud , R. Bennacer , J. P. Caltagirone , É . Chenier , A. Joulin , N. Laaroussi , and K. Mojtabi , Étude numérique comparative des écoulements thermoconvectifs dans un canal vertical chauffé asymétriquement . VIIIème Colloque Interuniversitaire Franco-Québécois , 28–30 Mai , Montréal , Canada , 2007 .
   Google Scholar
• F. Marcondes and C. R. Maliska , Treatment of the Inlet Boundary Conditions in Natural-Convection Flows in Open-Ended Channels , Numer. Heat Transfer B , vol. 35 , pp. 317 – 345 , 1999 .
   Web of Science ®Google Scholar
• K. Slimi , L. Zili-Ghedira , S. Ben Nasrallah , and A. A. Mohamad , A Transient Study of Coupled Natural Convection and Radiation in a Porous Vertical Channel Using the Finite-Volume Method , Numer. Heat Transfer A , vol. 45 , pp. 451 – 478 , 2004 .
   Web of Science ®Google Scholar
• P. Talukdar and C. J. Simonson , Effect of Axial Radiation on Heat Transfer in a Thermally and Hydrodynamically Developing Flow between Parallel Plates , Numer. Heat Transfer A , vol. 52 , pp. 911 – 934 , 2007 .
   Web of Science ®Google Scholar
• C. Muresan , C. Ménézo , R. Bennacer , and Vaillon, Numerical Simulation of a Vertical Solar Collector Integrated in Building Frame: Radiation and Turbulent Natural Convection Coupling , Int. J. Heat Transfer Eng. , vol. 27 , no. 2 , pp. 29 – 42 , 2006 .
   Web of Science ®Google Scholar
• B. Morrone , Natural Convection between Parallel Plates with Conjugate Conductive Effects , Numer. Heat Transfer A , vol. 40 , pp. 873 – 886 , 2001 .
   Web of Science ®Google Scholar
• E. M. Sparrow , S. Shah , and C. Prakash , Natural Convection in a Vertical Channel: I. Interacting Convection and Radiation. II. The Vertical Plate with and without Shrouding , Numer. Heat Transfer A , vol. 3 , pp. 297 – 314 , 1980 .
   Google Scholar
• A. Hadim and G. Chen , Non-Darcy Mixed Convection in a Vertical Porous Channel with Discrete Heat Sources at the Walls , Int. J. Heat Mass Transfer , vol. 21 , pp. 377 – 387 , 1994 .
   Google Scholar
• B. M. Da Silva Miranda and N. K. Anand , Convective Heat Transfer in a Channel with Porous Baffles , Numer. Heat Transfer A , vol. 46 , pp. 425 – 452 , 2004 .
   Web of Science ®Google Scholar
• Z. Guo and N. K. Anand , Three-Dimensional Heat Transfer in a Channel with a Baffle in the Entrance Region , Numer. Heat Transfer A , vol. 31 , pp. 21 – 35 , 1997 .
   Web of Science ®Google Scholar
• N. B. Santos and M. J. S. de Lemos , Flow and Heat Transfer in a Parallel-Plate Channel with Porous and Solid Baffles , Numer. Heat Transfer A , vol. 49 , pp. 471 – 494 , 2006 .
   Web of Science ®Google Scholar
• P. C. Huang and K. Vafai , Internal Heat Transfer Augmentation in a Channel Using an Alternate Set of Porous Cavity-Block Obstacles , Numer. Heat Transfer A , vol. 25 , pp. 519 – 539 , 1994 .
   Web of Science ®Google Scholar
• S. Bennasrallah , T. Amara , and M. A. Du Peuty , Convection naturelle instationnaire dans un cylindre rempli de grains ouvert à ses extrémités et dont la paroi est chauffée par un flux de chaleur constant: validité de l'hypothèse de l'équilibre thermique local , Int. J. Heat Mass Transfer , vol. 40 , pp. 1115 – 1168 , 1997 .
   Google Scholar
• G. Degan and P. Vasseur , Aiding Mixed Convection through a Vertical Anisotropic Porous Channel with Oblique Principal Axes , Int. J. Eng. Sci. , vol. 40 , pp. 193 – 209 , 2002 .
   Web of Science ®Google Scholar
• D. Angirasa and G. P. Peterson , Combined Heat and Mass Transfer by Natural Convection with Opposing Buoyancy Effects in a Fluid Saturated Porous Medium , Int. J. Heat Mass Transfer , vol. 40 , pp. 2755 – 2773 , 1997 .
   Web of Science ®Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere/McGraw-Hill , New York , 1980.
   Google Scholar
• R. Bennacer , M. El Ganaoui , and E. Leonardi , Vertical Bridgman Configuration Heated from Below: 3d Bifurcation and Stability Analysis , Appl. Math. Modelling , vol. 30 , pp. 1249 – 1261 , 2006 .
   Google Scholar
• K. L. Walker and G. M. Homsy , Convection in a Porous Cavity , J. Fluid Mech. , vol. 87 , pp. 449 – 474 , 1978 .
   Web of Science ®Google Scholar
• O. V. Trevisan and A. Bejan , Natural Convection with Combined Heat Mass Transfer Buoyancy Effects in a Porous Medium , Int. J. Heat Mass Transfer , vol. 28 , pp. 1597 – 1611 , 1985 .
   Web of Science ®Google Scholar
• G. Lauriat and V. Prasad , Non-Darcian Effects on Natural Convection in a Vertical Porous Enclosure , Int. J. Heat Mass Transfer , vol. 32 , pp. 2135 – 2148 , 1989 .
   Web of Science ®Google Scholar
• P. Nithiarasu , K. N. Seetaramu , and T. Sundarajan , Natural Convective Heat Transfer in an Enclosure Filled with a Fluid Saturated Variable Porosity Medium , Int. J. Heat Mass Transfer , vol. 40 , pp. 3955 – 3967 , 1997 .
   Web of Science ®Google Scholar
• P. Nithiarasu , K. N. Seetaramu , and T. Sundarajan , Non-Darcy Double-Diffusive Convection in a Fluid Saturated Axisymmetric Porous Cavities , Heat Mass Transfer , vol. 36 , pp. 427 – 434 , 1997 .
   Web of Science ®Google Scholar
• P. Nithiarasu , K. N. Seetaramu , and T. Sundarajan , Double-Diffusive Convection in a Fluid Saturated Axisymetric Porous Cavity with Freely Convecting Wall , Int. Commun. Heat Mass Transfer , vol. 24 , pp. 1121 – 1130 , 1997 .
   Web of Science ®Google Scholar
• P. Nithiarasu and K. Ravindran , A New Semi-implicit Time Stepping Procedure for Buoyancy Driven Flow in a Fluid Saturated Porous Medium , Comput. Meth. Appl. Mech. Eng. , vol. 165 , pp. 147 – 154 , 1998 .
   Web of Science ®Google Scholar
• A. C. Baytas , Entropy Generation for Natural Convection in an Inclined Porous Cavity , Int. J. Heat Mass Transfer , vol. 43 , pp. 2089 – 2099 , 2000 .
   Web of Science ®Google Scholar
• N. Massarotti , P. Nithiarasu , and O. C. Zienkiewicz , Natural Convection in Porous Medium-Fluid Interface Problems. A Finite Element Analysis by Using the CBS Procedure , Int. J. Numer. Meth. Heat Fluid Flow , vol. 11 , pp. 473 – 490 , 2001 .
   Web of Science ®Google Scholar
• R. Bennacer , A. Tobbal , H. Beji , and P. Vasseur , Double Diffusive Convection in a Vertical Enclosure Filled with Anisotropic Porous Media , Int. J. Thermal Sci. , vol. 40 , pp. 30 – 41 , 2001 .
   Web of Science ®Google Scholar
• N. H. Saeid and I. Pop , Non-Darcy Natural Convection in a Square Cavity Filled with a Porous Medium , Fluid Dynam. Res. , vol. 36 , pp. 35 – 43 , 2005 .
   Web of Science ®Google Scholar
• G. Simpkins and P. A. Blythe , Convection in Porous Layer , Int. J. Heat Mass Transfer , vol. 23 , pp. 881 – 887 , 1980 .
   Web of Science ®Google Scholar